@Cyracuz,
Cyracuz wrote:
Quote:A set is a collection of distinct objects, considered as an object in its own right.
-wiki on Set(mathematical)
A ons-element set, by definition, can only contain one distinct object, hence it is not a collection of distinct objects, hence it does not fit the definition of a set.
So that's indeed how you concluded such an absurdity: since the sentence talks about a
distinct object, you concluded that it must be distinct from something else, hence there must be another element in the set, or it is not a set. Again, the "distinct" in that sentence aims at sets with repeated elements, which are not sets. A set cannot have the same element repeated many times, that's what the sentence is trying to say (in your case, without success). A set with repeated elements becomes a combination, or an arrangement, etc. A set is a collection of distinct elements, that is, you cannot have the same element more than once.
Cyracuz wrote:This is how it seems to me after doing a little web searching.
If you have to do an Internet search to learn about set theory, then please do a little
more search, since what you have learned so far is dead wrong.
Cyracuz wrote:I linked the wiki article in the post you responded to. You must be blind as well as moronic.
Well, you may know nothing about set theory, but at least you know how to insult people...
Cyracuz wrote:Understand, I do not doubt that you are intelligent.
But I'm starting to doubt you are...
Cyracuz wrote:You are also very stupid, unfortunately, in that you seem to think that making **** up is preferable to learning.
More insults...
Set theory 1.0.1: you can have a set without elements (the empty set, with cardinality = zero), with one element (cardinality = 1), with two elements (cardinality = 2), etc. You
cannot have a set with the same element repeated many times, which is what it means to say a set must have "distinct" elements. Please do a decent search, as well as a decent job interpreting what you read.